3(x-5)(x-1)=(3x+4)(x-2)

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Solution for 3(x-5)(x-1)=(3x+4)(x-2) equation: 


Simplifying
3(x + -5)(x + -1) = (3x + 4)(x + -2)

Reorder the terms:
3(-5 + x)(x + -1) = (3x + 4)(x + -2)

Reorder the terms:
3(-5 + x)(-1 + x) = (3x + 4)(x + -2)

Multiply (-5 + x) * (-1 + x)
3(-5(-1 + x) + x(-1 + x)) = (3x + 4)(x + -2)
3((-1 * -5 + x * -5) + x(-1 + x)) = (3x + 4)(x + -2)
3((5 + -5x) + x(-1 + x)) = (3x + 4)(x + -2)
3(5 + -5x + (-1 * x + x * x)) = (3x + 4)(x + -2)
3(5 + -5x + (-1x + x2)) = (3x + 4)(x + -2)

Combine like terms: -5x + -1x = -6x
3(5 + -6x + x2) = (3x + 4)(x + -2)
(5 * 3 + -6x * 3 + x2 * 3) = (3x + 4)(x + -2)
(15 + -18x + 3x2) = (3x + 4)(x + -2)

Reorder the terms:
15 + -18x + 3x2 = (4 + 3x)(x + -2)

Reorder the terms:
15 + -18x + 3x2 = (4 + 3x)(-2 + x)

Multiply (4 + 3x) * (-2 + x)
15 + -18x + 3x2 = (4(-2 + x) + 3x * (-2 + x))
15 + -18x + 3x2 = ((-2 * 4 + x * 4) + 3x * (-2 + x))
15 + -18x + 3x2 = ((-8 + 4x) + 3x * (-2 + x))
15 + -18x + 3x2 = (-8 + 4x + (-2 * 3x + x * 3x))
15 + -18x + 3x2 = (-8 + 4x + (-6x + 3x2))

Combine like terms: 4x + -6x = -2x
15 + -18x + 3x2 = (-8 + -2x + 3x2)

Add '-3x2' to each side of the equation.
15 + -18x + 3x2 + -3x2 = -8 + -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
15 + -18x + 0 = -8 + -2x + 3x2 + -3x2
15 + -18x = -8 + -2x + 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
15 + -18x = -8 + -2x + 0
15 + -18x = -8 + -2x

Solving
15 + -18x = -8 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
15 + -18x + 2x = -8 + -2x + 2x

Combine like terms: -18x + 2x = -16x
15 + -16x = -8 + -2x + 2x

Combine like terms: -2x + 2x = 0
15 + -16x = -8 + 0
15 + -16x = -8

Add '-15' to each side of the equation.
15 + -15 + -16x = -8 + -15

Combine like terms: 15 + -15 = 0
0 + -16x = -8 + -15
-16x = -8 + -15

Combine like terms: -8 + -15 = -23
-16x = -23

Divide each side by '-16'.
x = 1.4375

Simplifying
x = 1.4375

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